MATH 31B Lecture 3: Invertibility pt2
Document Summary
Rfiffisinvertibethenfistheuniqefunot. nu/domcf-"j=ranlf: continued a. hw i due @ 11:59pm. Smc link on ccle ran cf " ) - domff) , and ( x) (fan )=x f-" f-if - " cxd= x tf xe domff ") Fix) (cid:15482) b = f- ca) # f - " (b) = f - " is on graph of y - if and only if " (cid:15482) ( boa) Cf ca) ) = a is on the graph of y = f- " y = f- "cra is the reflection ex> line y= . of the graph of y - fad across t: " Rmd : if f is invertible , then it x. edom if ) the quantity fcxo ) remembers " Xo = f - " (f (xo ) ) Defy : a function f is called one-to-one if (also known as injective ) (cid:15482) fcxo ) # ffxi ) Xo # x , f-(xo> = fcx . ) (cid:15482) xo = xs . s.
